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Finding the Third Proportional to 45,307.13 and 106,598.81

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Solution

The third proportional to 45,307.13 and 106,598.81 is: 250,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307.13 : 106,598.81 = 106,598.81 : x
  2. Step 2: Convert to fraction form
    45,307.13/106,598.81 = 106,598.81/x
  3. Step 3: Cross multiply
    45,307.13x = 106,598.81 × 106,598.81
  4. Step 4: Simplify right side
    45,307.13x = 11,363,306,826.41
  5. Step 5: Solve for x
    x = 11,363,306,826.41/45,307.13
  6. Step 6: Final answer
    x = 250,806.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.